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NSEJS 2018-19 Question Paper With Answer Keys And Solutions
Hi students, welcome to AmansMathsBlogs (AMB). On this article, you will get NSEJS 2018-19 Question Paper With Answer Keys And Solutions.
NSEJS 2018-19 is an IJSO Stage 1 exam that is conducted by IAPT (Indian Association of Physics Teacher). In 2018-19 session, NSEJS is conducted on 18 November 2018 (Sunday).
NSEJS Maths Questions Bank EBook
Get NSEJS 2008 to 2018 Maths Questions Bank with Solutions. To get this combo ebook, click below RED button.
These questions are solved by me, AMAN RAJ, I am maths faculty of IIT Maths Foundation course and founder of this website AmansMathsBlogs (AMB).
NSEJS | |||||||
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Previous Year Question Papers | |||||||
2008-09 | 2009-10 | 2010-11 | 2011-12 | 2012-13 | |||
2013-14 | 2014-15 | 2015-16 | 2016-17 | 2017-18 | |||
2018-19 | 2019-20 |
NSEJS 2018-19 Question Paper Code JS511
Read More : 129 Maths Short Tricks
NSEJS 2018-19 Answer Keys
PHYSICS NSEJS 2018-19 Answer Keys | |||||||
---|---|---|---|---|---|---|---|
Ques No | Ans Key | Ques No | Ans Key | Ques No | Ans Key | Ques No | Ans Key |
1 | B | 6 | C | 11 | B | 16 | B |
2 | A | 7 | B | 12 | B | 17 | B |
3 | D | 8 | B | 13 | B | 18 | B |
4 | C | 9 | C | 14 | A | 19 | B |
5 | A | 10 | A | 15 | C | 20 | C |
CHEMISTRY NSEJS 2018-19 Answer Keys | |||||||
Ques No | Ans Key | Ques No | Ans Key | Ques No | Ans Key | Ques No | Ans Key |
21 | D | 26 | D | 31 | A | 36 | C |
22 | B | 27 | C | 32 | A | 37 | D |
23 | C | 28 | D | 33 | A | 38 | A |
24 | A | 29 | B | 34 | A | 39 | C |
25 | C | 30 | B | 35 | A | 40 | C |
MATHEMATICS NSEJS 2018-19 Answer Keys | |||||||
Ques No | Ans Key | Ques No | Ans Key | Ques No | Ans Key | Ques No | Ans Key |
41 | C | 46 | C, D | 51 | A | 56 | B |
42 | D | 47 | NA | 52 | C | 57 | NA |
43 | D | 48 | B | 53 | C | 58 | A |
44 | C, D | 49 | B | 54 | A | 59 | D |
45 | A | 50 | B | 55 | B | 60 | D |
BIOLOGY NSEJS 2018-19 Answer Keys | |||||||
Ques No | Ans Key | Ques No | Ans Key | Ques No | Ans Key | Ques No | Ans Key |
61 | A | 66 | D | 71 | B | 76 | B |
62 | B | 67 | C | 72 | A | 77 | D |
63 | B | 68 | D | 73 | C | 78 | B |
64 | A | 69 | C | 74 | C | 79 | A |
65 | D | 70 | A | 75 | A | 80 | A |
NSEJS 2018-19 Solutions MATHS
NSEJS 2018-19 Maths Questions Bank With Solutions: Ques No 41
Let AB be a diameter of a circle C1 of radius 30 cm and with centre O. Two circles C2 and C3 of radii 15 cm and 10 cm touch internally at A and B respectively. A fourth circle C4 touches C1, C2 and C3. What is the largest possible radius of C4?
Options:
A. 12 cm
B. 15 cm
C. 20 cm
D. 30 cm
Answer Key: C
Solution:
NSEJS 2018-19 Maths Questions Bank With Solutions: Ques No 42
A 5×5×5 cube is built using unit cubes. How many different cuboids (that differ in at least one-unit cube) can be formed using the same number of unit cubes?
Options:
A. 1000
B. 1728
C. 2730
D. 3375
Answer Key: D
Solution:
NSEJS 2018-19 Maths Questions Bank With Solutions: Ques No 43
What is the largest value of the positive integer k such that k divides n2(n2 – 1)(n2 – n – 2) for every natural number n?
Options:
A. 6
B. 12
C. 24
D. 48
Answer Key: D
Solution:
NSEJS 2018-19 Maths Questions Bank With Solutions: Ques No 44
A person kept rolling a regular (six faced) die until one of the numbers appeared third time on the top. This happened in 12th throw and the sum of all the numbers in 12 throws was 46. Which number appeared least number of times?
Options:
A. 6
B. 4
C. 2
D. 1
Answer Key: C, D
Solution:
NSEJS 2018-19 Maths Questions Bank With Solutions: Ques No 45
In a square ABCD, a point P is inside the square such that ABP is an equilateral triangle. The segment AP cuts the diagonal BD in E. Suppose AE = 2. The area of ABCD is
Options:
A. 4 + 2Root(3)
B. 5 + 2Root(3)
C. 4 + 4Root(3)
D. 5 + 4Root(3)
Answer Key: A
Solution:
NSEJS 2018-19 Maths Questions Bank With Solutions: Ques No 46
Let n be a positive integer not divisible by 6. Suppose n has positive divisors. The number of positive divisors of 9n is
Options:
A. 54
B. 36
C. 18
D. 12
Answer Key: C
Solution:
NSEJS 2018-19 Maths Questions Bank With Solutions: Ques No 47
The value of
, when x = 2ab/(b2 + 1) is:
Options:
A. a
B. b
C. x
D. 0
Answer Key: BONUS as wrong print in x = 2a/(b2 + 1)
Solution:
NSEJS 2018-19 Maths Questions Bank With Solutions: Ques No 48
Two regular polygons of different number of sides are taken. In one of them, its sides are colored red and diagonals are colored green. In other, the sides are colored green and diagonals are colored red. Suppose there are 103 red lines and 80 green lines. The total number of sides the two polygons together have is:
Options:
A. 23
B. 28
C. 33
D. 38
Answer Key: B
Solution:
NSEJS 2018-19 Maths Questions Bank With Solutions: Ques No 49
A box contains some red and some yellow balls. If one red ball is removed, one seventh of the remaining balls would be red. If one yellow ball is removed, one-sixth of the remaining balls would be red. If n denotes the total number of balls in the box, then the sum of the digits of n is:
Options:
A. 6
B. 7
C. 8
D. 9
Answer Key: B
NSEJS 2018-19 Maths Questions Bank With Solutions: Ques No 50
Let ABCD be a rectangle. Let X and Y be points respectively on AB and CD such that AX:XB = 1:2 = CY:YD. Join AY and CX. Let BY intersect CX in K. Let DX intersect AY in L. If m/n denotes the ratio of the area of XKYL to that of the ABCD, then (m + n) is
Options:
A. 9
B. 11
C. 13
D. 15
Answer Key: B
Solution:
NSEJS 2018-19 Maths Questions Bank With Solutions: Ques No 51
Let ABC be an equilateral triangle. The bisector of ∠BAC meets the circumcircle of ABC in D. Suppose DB + DC = 4. The diameter of the circumcircle of ABC is
Options:
A. 4
B. 3Root(3)
C. 2Root(3)
D. 2
Answer Key: A
Solution:
NSEJS 2018-19 Maths Questions Bank With Solutions: Ques No 52
Let Tk denote the kth term of an arithmetic progression. Suppose there are positive integers m ≠ n such that Tm = 1/n and Tn = 1/m. Then Tmn is
Options:
A. 1/mn
B. 1/m + 1/n
C. 1
D. 0
Answer Key: C
Solution:
NSEJS 2018-19 Maths Questions Bank With Solutions: Ques No 53
In a triangle ABC, let AD be the median from A. Let E be a point on AD such that AE:ED = 1:2 and let BE extended meets AC in F. The ratio of AF/FC is
Options:
A. 1/6
B. 1/5
C. 1/4
D. 1/3
Answer Key: C
Solution:
NSEJS 2018-19 Maths Questions Bank With Solutions: Ques No 54
If sinθ and cosθ are roots of the equation px2 + qx + r = 0, then
Options:
A. p2 – q2 + 2pr = 0
B. (p + r)2 = q2 – r2
C. p2 + q2 – 2pr = 0
D. (p – r)2 = q2 + r2
Answer Key: A
Solution:
NSEJS 2018-19 Maths Questions Bank With Solutions: Ques No 55
For a regular k-sided polygon, let a(k) denotes its interior angle. Suppose n > 4 is such that a(n – 2), a(n), a(n + 3) forms an arithmetic progression. The sum of digits of n is
Options:
A. 2
B. 3
C. 4
D. 5
Answer Key: B
Solution:
NSEJS 2018-19 Maths Questions Bank With Solutions: Ques No 56
The sum of 5 numbers in geometric progression is 24. The sum of their reciprocals is 6. The product of the terms of the geometric progression is
Options:
A. 36
B. 32
C. 24
D. 18
Answer Key: B
Solution:
NSEJS 2018-19 Maths Questions Bank With Solutions: Ques No 57
Digits a and b are such that the product 4a1 and 25b is divisible by 36 (in base 10). The number of ordered pairs (a, b) is
Options:
A. 15
B. 8
C. 6
D. 4
Answer Key: NA
Solution:
NSEJS 2018-19 Maths Questions Bank With Solutions: Ques No 58
The integer closest to , where there are 2018 ones and 1009 twos, is
Options:
A. (101009 – 1)/3
B. (101009 – 1)/9
C. (102018 – 1)/3
D. (102018 – 1)/9
Answer Key: A
Solution:
NSEJS 2018-19 Maths Questions Bank With Solutions: Ques No 59
In a triangle ABC, a point D on AB is such that AD:AB = 1:4 and DE is parallel to BC with E on AC. Let M and N be the mid-points of DE and BC respectively. What is the ratio of the area of the quadrilateral BNMD to that of the triangle ABC?
Options:
A. 1/4
B. 9/32
C. 7/32
D. 15/32
Answer Key: D
Solution:
NSEJS 2018-19 Maths Questions Bank With Solutions: Ques No 60
The number of distinct integers in the collection [102/1], [102/2], [102/3], [102/4], …, [102/20]
Options:
A. 20
B. 18
C. 17
D. 15
Answer Key: D
Solution:
For solution of NTSE 2018-19 Question Paper, Click Here
NSEJS | |||||||
---|---|---|---|---|---|---|---|
Previous Year Question Papers | |||||||
2008-09 | 2009-10 | 2010-11 | 2011-12 | 2012-13 | |||
2013-14 | 2014-15 | 2015-16 | 2016-17 | 2017-18 | |||
2018-19 | 2019-20 |
NSEJS Maths Questions Bank EBook
Get NSEJS 2008 to 2018 Maths Questions Bank with Solutions. To get this combo ebook, click below RED button.